Pith Number

pith:ZPDYJ4VF

pith:2013:ZPDYJ4VFAKLQSAYRRI7SDP2WHR

not attested not anchored not stored refs pending

Ultraproducts, QWEP von Neumann Algebras, and the Effros-Mar\'echal Topology

Carl Winslow, Hiroshi Ando, Uffe Haagerup

arxiv:1306.0460 v1 · 2013-06-03 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPDYJ4VFAKLQSAYRRI7SDP2WHR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:21:55.232330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc784f2a502970903118a3f21bf563c6d4b6603d659445722995fde61894ca6

Aliases

arxiv: 1306.0460 · arxiv_version: 1306.0460v1 · doi: 10.48550/arxiv.1306.0460 · pith_short_12: ZPDYJ4VFAKLQ · pith_short_16: ZPDYJ4VFAKLQSAYR · pith_short_8: ZPDYJ4VF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZPDYJ4VFAKLQSAYRRI7SDP2WHR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cbc784f2a502970903118a3f21bf563c6d4b6603d659445722995fde61894ca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed580f724c02ef8b9135722737891059e6e6541efeade70184d4d0350cd48465",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-03T15:34:27Z",
    "title_canon_sha256": "d74cf17b0cc97180a2d653da9d5df52acb8fc42944bc0dc77b3c733bbf246bde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0460",
    "kind": "arxiv",
    "version": 1
  }
}